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algorithms(bf-to-astar): fix typos
Signed-off-by: Matej Focko <me@mfocko.xyz>
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2 changed files with 4 additions and 3 deletions
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@ -283,7 +283,7 @@ y = i / width
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## Bellman-Ford
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## Bellman-Ford
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If you have ever attended any Algorithms course that had path-finding in its
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If you have ever attended any Algorithms course that had path-finding in its
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sylabus, you probably feel like you've seen the algorithm above before[^3]… And
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syllabus, you probably feel like you've seen the algorithm above before[^3]… And
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yes, the first algorithm I have proposed is a very dumb version of the
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yes, the first algorithm I have proposed is a very dumb version of the
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_Bellman-Ford_ algorithm, it's dumb, because it loops :wink: After our “looping”
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_Bellman-Ford_ algorithm, it's dumb, because it loops :wink: After our “looping”
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prevention we got to the point that is almost the _Bellman-Ford_ with the one
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prevention we got to the point that is almost the _Bellman-Ford_ with the one
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@ -406,12 +406,12 @@ Let's have a short look at the time complexities of the presented algorithms:
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2. our naïve approach with the fixed count of iterations instead of the
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2. our naïve approach with the fixed count of iterations instead of the
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`do-while` loop results in the same worst-case time complexity:
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`do-while` loop results in the same worst-case time complexity:
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$$
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$$
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\mathcal{O}(\vert V \vert \cdot \vert E \vert)
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\Theta(\vert V \vert \cdot \vert E \vert)
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$$
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$$
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3. and finally the well-known Bellman-Ford's algorithm time complexity:
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3. and finally the well-known Bellman-Ford's algorithm time complexity:
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$$
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$$
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\mathcal{O}(\vert V \vert \cdot \vert E \vert)
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\Theta(\vert V \vert \cdot \vert E \vert)
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$$
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$$
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## Small refactor
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## Small refactor
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@ -10,6 +10,7 @@ tags:
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- bellman ford
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- bellman ford
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- dynamic programming
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- dynamic programming
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- dijkstra
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- dijkstra
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- greedy
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- a star
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- a star
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last_update:
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last_update:
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date: 2024-01-01
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date: 2024-01-01
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